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Helga [31]
2 years ago
11

The Line plot below shows the lengths of bolts Mr.Slivka found in his drawer He needs 16 bolts that are longer than 1 inch for a

projector he is working on. Does he have enough bolts for his project. (Bolt Lengths) 2/8 4/8 6/8 1 whole 1 2/8 1 4/8 (Inches) A. yes there are 16 Bolts that have lengths greater then 1 inch, which is just enoguh. B. Yes. there are 18 Bolts that have lengths greater then 1 inch, which is more than enough. C. No there are only 3 bolts with lengths greater than 1 inch, which is not enough. D. No, there are only 12 bolts that have lengths greater than 1 inch, which is not enough.
Thank you if you answered this u get a good Answer :)
Mathematics
1 answer:
almond37 [142]2 years ago
8 0

Answer:

the answer is D

Step-by-step explanation:

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Help im behind my math class. pls
maks197457 [2]

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

  • ∠1  & ∠5
  • ∠2 & ∠4
  • ∠2 & ∠7
  • ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

  • ∠1  = ∠5
  • ∠2 = ∠4
  • ∠2 = ∠7
  • ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

7 0
3 years ago
the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?
Iteru [2.4K]

Answer:

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Step-by-step explanation:

Given data

Diamter= 25 in

radius= 25/2= 12.5in

Circumference= 2πr

substitute

C=2*3.142*12.5

C=78.55in

In 1 revolution the bike will travel 78.55in

in 20 revolutions the bike will travel

=78.55*20

=1571 in

4 0
3 years ago
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